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Finding the Fourth Proportional to 1,165.42, 1,608.42 and 699.76

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Solution

The fourth proportional to 1,165.42, 1,608.42 and 699.76 is: 965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.42 : 1,608.42 = 699.76 : x
  2. Step 2: Convert to fraction form
    1,165.42/1,608.42 = 699.76/x
  3. Step 3: Cross multiply
    1,165.42x = 1,608.42 × 699.76
  4. Step 4: Simplify right side
    1,165.42x = 1,125,507.98
  5. Step 5: Solve for x
    x = 1,125,507.98/1,165.42
  6. Step 6: Final answer
    x = 965.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.